On finiteness of verbal subgroups

DOI10.1016/j.jpaa.2021.106976OpenAlexW3215536136MaRDI QIDQ2069828

P. V. Shumyatskij, João L. F. Azevedo

Publication date: 21 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10121

zbMATH Keywords

wordsverbal subgroupsconciseness

Mathematics Subject Classification ID

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Limits, profinite groups (20E18)

Related Items (1)

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Cites Work

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• On a problem of P. Hall for Engel words.
• Powers in finite groups.
• Omega subgroups of pro-\(p\) groups.
• On conciseness of some commutator words
• On bounded conciseness of Engel-like words in residually finite groups
• Words of Engel type are concise in residually finite groups. II.
• A Note on Conciseness of Engel Words
• Outer commutator words are uniformly concise
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• Verbal subgroups in residually finite groups
• Words of Engel type are concise in residually finite groups
• On Outer-Commutator Words
• Marginal Subgroup Properties for Outer Commutator Words

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